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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E21">Th20</font></span>: <a NAME="T20"><span class="comment"><font color="firebrick">:: SIMPLEX1:20</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b3">Kv</font> being   non  <a href="pencil_1.html#V3" title="PENCIL_1:attr.3">void</a>  <a href="simplex1.html#NM2" title="SIMPLEX1:NM.2">SimplicialComplex</a> of <font color="Olive" title="b2">V</font>  st <span class="p1"><a href="simplex1.html#K3" title="SIMPLEX1:func.3">|.</a><span class="default"><font color="Olive" title="b3">Kv</font></span><a href="simplex1.html#K3" title="SIMPLEX1:func.3">.|</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Olive" title="b3">Kv</font> holds <br/> <a href="simplex1.html#K5" title="SIMPLEX1:func.5">BCS</a> (<span class="p1">(<span class="default"><font color="Olive" title="b1">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span>,<font color="Olive" title="b3">Kv</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="simplex1.html#K4" title="SIMPLEX1:func.4">BCS</a> <span class="p1">(<span class="default"><a href="simplex1.html#K5" title="SIMPLEX1:func.5">BCS</a> (<font color="Olive" title="b1">n</font>,<font color="Olive" title="b3">Kv</font>)</span>)</span></div></div>
